Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8184j |
Isogeny class |
Conductor |
8184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
2630403072 = 210 · 35 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-808,8764] |
[a1,a2,a3,a4,a6] |
Generators |
[6:64:1] |
Generators of the group modulo torsion |
j |
57042062500/2568753 |
j-invariant |
L |
2.9939046929109 |
L(r)(E,1)/r! |
Ω |
1.4252238626202 |
Real period |
R |
2.1006557435873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16368l1 65472bf1 24552g1 90024e1 |
Quadratic twists by: -4 8 -3 -11 |